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11320204121400 = 23352107176327167
BaseRepresentation
bin1010010010111011000010…
…1111101101010100111000
31111002012102111012102020010
42210232300233231110320
52440432234223341100
640024232513101520
72245600132254006
oct244566057552470
944065374172203
1011320204121400
1136749651226a9
121329b215578a0
1364164bcc8785
142b1c87b35a76
151496e79a4750
hexa4bb0bed538

11320204121400 has 96 divisors (see below), whose sum is σ = 35420601507840. Its totient is φ = 2990508735360.

The previous prime is 11320204121393. The next prime is 11320204121483. The reversal of 11320204121400 is 412140202311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88099384 + ... + 88227783.

It is an arithmetic number, because the mean of its divisors is an integer number (368964599040).

Almost surely, 211320204121400 is an apocalyptic number.

11320204121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320204121400 is an abundant number, since it is smaller than the sum of its proper divisors (24100397386440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11320204121400 is a wasteful number, since it uses less digits than its factorization.

11320204121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176327293 (or 176327284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11320204121400 its reverse (412140202311), we get a palindrome (11732344323711).

The spelling of 11320204121400 in words is "eleven trillion, three hundred twenty billion, two hundred four million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 150 200 214 300 321 428 535 600 642 856 1070 1284 1605 2140 2568 2675 3210 4280 5350 6420 8025 10700 12840 16050 21400 32100 64200 176327167 352654334 528981501 705308668 881635835 1057963002 1410617336 1763271670 2115926004 2644907505 3526543340 4231852008 4408179175 5289815010 7053086680 8816358350 10579630020 13224537525 17632716700 18867006869 21159260040 26449075050 35265433400 37734013738 52898150100 56601020607 75468027476 94335034345 105796300200 113202041214 150936054952 188670068690 226404082428 283005103035 377340137380 452808164856 471675171725 566010206070 754680274760 943350343450 1132020412140 1415025515175 1886700686900 2264040824280 2830051030350 3773401373800 5660102060700 11320204121400